Mathematical of a Complex Variable Robert and Woodward (Classic Reprint) - Softcover

Inhaltsangabe

Master the essentials of complex analysis with a concise, practical guide.

This introduction covers the core ideas of functions of a complex variable, from basic definitions to key theorems, in a clear, learner-friendly way. This edition presents a compact path through foundational concepts, including how complex functions are defined, how series represent them, and how to work with convergence, derivatives, and integrals. It highlights important tools like Cauchy’s theorem, residues, and Weierstrass’s and Mittag-Leffler’s theorems, with approachable explanations and worked examples.

• Foundations: independent variables, complex numbers, and the notion of a function in the complex plane
• Series and convergence: absolute and uniform convergence, power series, and their role in defining functions
• Core theorems: Cauchy’s theorem, residues, and the interplay between real and complex integration
• Special topics: conformal representation, analytic properties, and fundamental series (Taylor, Laurent, Fourier)

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